Bush Bush Grass Grass Wood Wood

1
Black Green Orange Red Yellow

10 2 2 5 1
2
Black Green Orange Red

6 6 4 4
3
Black Green Orange Red Yellow

5 5 2 5 3
4
Black Green Red Yellow

4 5 9 2
5
Black Green Orange

7 10 3
6
Black Green

10 10

Analysis
As some of the results are less than 3; we will combine results of Yellow snails with Green snails and Orange with Red snails.

B
G + Y
O + R
Total
Population 1 (Bush)
16
Expected = 14
Chi-sq = 0.286
9
Expected = 44/3
Chi-sq = 2.189
15
Expected = 11 1/3
Chi-sq = 1.186
40
Population 2 (Grass)
9
Expected = 14
Chi-sq = 1.786
15
Expected = 44/3
Chi-sq = 0.007576
16
Expected = 11 1/3
Chi-sq = 98/51
40
Population 3 (Wood)
17
Expected = 14
Chi-sq = 9/14
20
Expected = 44/3
Chi-sq = 64/33
3
Expected = 11 1/3
Chi-sq = 625/102
40

42
44
33
120
X^2 = 16.086 (3 d.p.)
Degree of Freedom = 4
P-value = 0.00290591

Therefore, there is a 0.00290591 chance that we would get the results if the null hypothesis is true.

Critical value (2-tailed) = 9.49
Our results are significant as the Chi-square value is greater than the critical value.